(x - 2)² = (1 - 3x)²
x² - 4x + 4 = 1 - 6x + 9x²
9x² - x² - 6x + 4x + 1 - 4 = 0
8x² - 2x - 3 = 0
8x² + 4x - 6x - 3 = 0
(8x² + 4x) - (6x + 3) = 0
4x(2x + 1) - 3(2x + 1) = 0
(2x + 1)(4x - 3) = 0
2x + 1 = 0 hoặc 4x - 3 = 0
*) 2x + 1 = 0
2x = -1
x = -1/2
*) 4x - 3 = 0
4x = 3
x = 3/4
Vậy x = -1/2; x = 3/4
(x-2)2=(1-3x)2
vì là mũ chẵn nên ta có 2 trường hợp
TH1: x-2=1-3x
⇔x+3x=1+2
⇔4x=3
⇔x=3/4
TH2: x-2= -(1-3x)
⇔x-2= -1 +3x
⇔x-3x= -1 +2
⇔-2x=1
⇔x= -1/2
Vậy x ϵ {3/4 ; -1/2}